activity
20062009
most citedBoundary trace of positive solutions of semilinear elliptic equations in Lipschitz domains

4 citations · 7 across the 8 of their papers we have counts for

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Showing 2008Show all

5 papers · 1 filter

math.AP2008

Maximal solutions for in open or finely open sets

Moshe Marcus, Laurent Veron

We study the existence and uniqueness of new classes of solutions of the superlinear equation (q>1) in a domain of R^N or in a finely open set for the topology associat…

math.AP2008

The precise boundary trace of solutions of a class of supercritical nonlinear equations

Moshe Marcus, Laurent Veron

We construct and study the properties of the precise boundary trace of positive solutions of in a smooth bounded domain of , in the supercritical case $q\g…

math.AP2008

Maximal solutions of equation u = uq in arbitrary domains

Moshe Marcus, Laurent Veron

We prove bilateral capacitary estimates for the maximal solution of in the complement of an arbitrary closed set , involving the Bessel capac…

math.AP2008★ 3 cited

Capacitary representations of positive solutions of semilinear parabolic equations

Moshe Marcus, Laurent Veron

We give a global bilateral estimate on the maximal solution of $ \prt_tu-Δu+u^q=0$ in $\BBR^N\times (0,\infty)$, , , which vanishes at on the comple…

math.AP2008

Maximal Solutions of Semilinear Elliptic Equations with Locally Integrable Forcing Term

Moshe Marcus, Laurent Veron

We study the existence of a maximal solution of $-\Gd u+g(u)=f(x)$ in a domain $\Gw\subset \BBR^N$ with compact boundary, assuming that $f\in (L^1_{loc}(\Gw))_+$ and that is no…